1001323028160 has 2240 divisors, whose sum is σ = 4589732044800. Its totient is φ = 204155707392.

The previous prime is 1001323028099. The next prime is 1001323028197. The reversal of 1001323028160 is 618203231001.

It is a happy number.

1001323028160 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 323 + 0 + 281 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12674975001 + ... + 12674975079.

It is an arithmetic number, because the mean of its divisors is an integer number (2048987520).

Almost surely, 2^{1001323028160} is an apocalyptic number.

1001323028160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001323028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294866022400).

1001323028160 is an abundant number, since it is smaller than the sum of its proper divisors (3588409016640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001323028160 is an equidigital number, since it uses as much as digits as its factorization.

1001323028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1001323028160 its reverse (618203231001), we get a palindrome (1619526259161).

The spelling of 1001323028160 in words is "one trillion, one billion, three hundred twenty-three million, twenty-eight thousand, one hundred sixty".